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Simplifying -3u + 15u + 7 = 8u + 43 Reorder the terms: 7 + -3u + 15u = 8u + 43 Combine like terms: -3u + 15u = 12u 7 + 12u = 8u + 43 Reorder the terms: 7 + 12u = 43 + 8u Solving 7 + 12u = 43 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 7 + 12u + -8u = 43 + 8u + -8u Combine like terms: 12u + -8u = 4u 7 + 4u = 43 + 8u + -8u Combine like terms: 8u + -8u = 0 7 + 4u = 43 + 0 7 + 4u = 43 Add '-7' to each side of the equation. 7 + -7 + 4u = 43 + -7 Combine like terms: 7 + -7 = 0 0 + 4u = 43 + -7 4u = 43 + -7 Combine like terms: 43 + -7 = 36 4u = 36 Divide each side by '4'. u = 9 Simplifying u = 9
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